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   "cells": [
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "<div style=\"background-color: lightgrey; color: blue;text-align: center;\">\n",
      "Manual Polaflow V1.0\n",
      "English version\n",
      "</div>"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<div style=\"background-color: lightgrey; color: green\">Introduction:</div>\n",
      "Polaflow is a package that calculate the numeric propagation of an initial state using a Shao Wan method modified, such that it can calculate with non-linear term, life time term and coherent pumping term, furthermore it contains auxiliarity functions that facilitate the data analysis.\n",
      "\n",
      "<div style=\"background-color: lightgrey; color: green\">Instalation:</div>\n",
      "For use Polaflow is nescessary to have python2.7.x, NumPy 1.8.x, SciPy 0.13.x, Matplotlib 1.3.x and Ipython2.1.x [Notebook] installed  or later. After this the files ShaoWangV3.py and Ploaflow.py must be copied in the work directory.\n",
      "\n",
      "<div style=\"background-color: lightgrey; color: green\">the code use:</div><br>\n",
      "For use of polaflow code is necessary load from Polaflow package the objets Particles and Polaflow1D, next define the particles to be calculates:<br>\n",
      "part1=Particle()<br>\n",
      "part2=Particle()<br>\n",
      "part3=Polaflow1D(part1,part2), is important the order, because the first particle in Polaflow objet is the cavity and the second one is the exciton (it has the non-linearity).\n",
      "<br><br>\n",
      "<i>Porperties of the class Particle()</i>:<br>\n",
      "obj.name: string<br>\n",
      "obj.mass: float<br>\n",
      "obj.w0: float<br>\n",
      "obj.gamma: float<br>\n",
      "obj.g: float<br>\n",
      "obj.Psi0: numpy array (complex or real float)<br>\n",
      "obj.Potential: numpy array (complex or real float)<br>\n",
      "obj.Psi: numpy array (complex float)<br>\n",
      "<br>\n",
      "<i>Methods of the class Particle()</i>:<br>\n",
      "obj.Gsummary(): this present a summary of the initial data of the particle<br>\n",
      "obj.GraphXT(): this method graphs the time evolution of the spatial wave density<br>\n",
      "<br>\n",
      "<i>Porperties of the class Polaflow1D()</i>:<br>\n",
      "obj.name: string<br>\n",
      "obj.x : numpy array (real float)<br>\n",
      "obj.t : numpy array (real float)<br>\n",
      "obj.M : int<br>\n",
      "obj.R : int <br>\n",
      "obj.hbar : float<br>\n",
      "obj.rabi : float  <br>              \n",
      "obj.pathwd : string with path structure<br>\n",
      "obj.path : string with path structure<br>\n",
      "obj.tolerance : float<br>\n",
      "obj.sweeps : int<br><br>\n",
      "\n",
      "<i>Methods of the class Polaflow1D()</i>:<br>\n",
      "obj.error: it shows the error acumulated in the calculus<br>\n",
      "obj.Refres(): it refresh the changes done in the data and constants<br>\n",
      "obj.Save(): it saves the data in the path defined by obj.pathwd, if you are no sure please don change this value<br>\n",
      "obj.Load(): it loads the data present in some directory defined by obj.path<br>\n",
      "obj.Calculate(): it runs the Shao Wang method<br>\n",
      "obj.PlotKE(): it does the dispersion plot<br>"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<div style=\"color: red\">Example 1:</div>\n",
      "Rabi free oscillation\n",
      "\n",
      "Defining particles:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from Polaflow import Particle,Polaflow1D\n",
      "photon=Particle()\n",
      "exciton=Particle()\n",
      "polariton=Polaflow1D(photon,exciton)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 3
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "It is defined the functions that will be used, these can have any spacial structure"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def gauss(x,sigma=20):\n",
      "    from numpy import exp, sqrt, pi                                                     \n",
      "    return  exp(-0.5*x**2/sigma**2)/sqrt(sqrt(pi*sigma**2))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 4
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The constants and values are initialized and is finished with obj.Refresh()"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from numpy import zeros,linspace\n",
      "J=2**6\n",
      "x=linspace(-100,100,J)\n",
      "t=linspace(0,20,2**6)\n",
      "photon.Psi0=gauss(x,sigma=20.0)\n",
      "exciton.Psi0=zeros(J)\n",
      "\n",
      "\n",
      "photon.name=\"Photon\"\n",
      "photon.mass=0.025\n",
      "photon.gamma=0.0\n",
      "photon.Potential=zeros(J)\n",
      "\n",
      "exciton.name=\"Exciton\"\n",
      "exciton.mass=2\n",
      "exciton.gamma=0.0\n",
      "exciton.g=0\n",
      "exciton.Potential=zeros(J)\n",
      "\n",
      "polariton.x=x\n",
      "polariton.t=t\n",
      "polariton.rabi=2.62989731\n",
      "polariton.hbar=0.65731\n",
      "polariton.M=10\n",
      "polariton.R=10\n",
      "polariton.name=\"Polaflow\"\n",
      "polariton.Refresh()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 19
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "It  calculates the temporal propagation"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "polariton.Calculate()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "using the improved version  ShaoWang of ShaoWangV3\n",
        "[##########]\n",
        "[#"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "##"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "##"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "##"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "##"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "#]"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        " Finished in  00h01m18s|\n"
       ]
      }
     ],
     "prompt_number": 20
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Save the data"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "polariton.Save()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Saved in  DataPF/Polaflow_2014_08_05_17_23_40\n"
       ]
      }
     ],
     "prompt_number": 16
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Space-time graphs"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline\n",
      "photon.PlotXT(contrast=2);\n",
      "exciton.PlotXT();"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
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3F8stqZZ6SQum1GXzUr19KTsvZe6pX/FDYiX1N4VSZr2URedEvzQKWHr9pfa3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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7f343b465c50>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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4T7i5/kvqbb5dImWS53xLdp1n2jkpv4XUyc69+eY/4WKteG9YSf2LRZ5ZL52z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GyIpP5kcV+8MyT20BOTwdw/xzcihbflitPsoCcHV6Pud+RBYJuRsDzinXwf2Qkfu4KQcZR0Q8ZB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\n/x/KFhByseLlGwAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7f343b4659d0>"
       ]
      }
     ],
     "prompt_number": 22
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Energy-dispersion graph"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline\n",
      "polariton.PlotKE(contrast=2);"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Ui+R7MD2vAzZiByoRL7LYWeZB4BUsEl+FafsO53bl/CwkIUMCS8csBa7FTr07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\nCCGEiDv/H2oyg+5ft15aAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7f343b4d0dd0>"
       ]
      }
     ],
     "prompt_number": 23
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Load the data:\n",
      "Copy the path of the directory data"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "polariton.path=\"DataPF/Polaflow_2014_08_05_16_55_37\"\n",
      "polariton.Load()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Data loaded...\n"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<div style=\"color: red\">example 2:</div>\n",
      "    \n",
      "Soliton"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def soliton1D(x,t,asol=0.4,vsol=0.0,x0sol=0.0):\n",
      "    from numpy import exp,cosh\n",
      "    return asol*exp(1.0j*(vsol*x+(asol**2-vsol**2)*t/2))/cosh(asol*(x-vsol*t-x0sol))\n",
      "\n",
      "\n",
      "from Polaflow import Particle,Polaflow1D\n",
      "from numpy import zeros,linspace\n",
      "cero=Particle()\n",
      "sol=Particle()\n",
      "soliton=Polaflow1D(cero,sol)\n",
      "\n",
      "\n",
      "J=2**8\n",
      "x=linspace(-30,70,J)\n",
      "t=linspace(0,10,2**7)\n",
      "sol.Psi0=soliton1D(x,0,vsol=3.0)\n",
      "cero.Psi0=zeros(J)\n",
      "\n",
      "\n",
      "cero.name=\"cero\"\n",
      "cero.mass=1.0\n",
      "cero.Potential=zeros(J)\n",
      "\n",
      "sol.name=\"soliton\"\n",
      "sol.mass=1\n",
      "sol.g=-1\n",
      "sol.Potential=zeros(J)\n",
      "\n",
      "soliton.x=x\n",
      "soliton.t=t\n",
      "soliton.rabi=0\n",
      "soliton.hbar=1\n",
      "soliton.M=10\n",
      "soliton.R=10\n",
      "soliton.name=\"Soliton\"\n",
      "soliton.Refresh()\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 40
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline\n",
      "cero.Gsummary();\n",
      "sol.Gsummary();"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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VIjMzM+wyP/30E+vXr2fgwIFB6QMHDmTNmjVFliWRywG8LzBv7EyH6gMsDZie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\nIiIiIiIikuj+H/T/4CW9CrJjAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fea0cf96110>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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P8DSuk/48TEd2V9n74tk0IsGdPAm1fPwiVROJU6J2zy7xJ9Tu2UO9Pe4HTMHc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\nERERERERERERERGRRPf/AT48VFCgqldcAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fea0ec7add0>"
       ]
      }
     ],
     "prompt_number": 39
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "soliton.Calculate()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "using the improved version  ShaoWang of ShaoWangV3\n",
        "[##########]\n",
        "[#"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "##"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "##"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "##"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "##"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "#]"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        " Finished in  00h13m57s|\n"
       ]
      }
     ],
     "prompt_number": 41
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline\n",
      "sol.PlotXT(contrast=1);"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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5rrWDxmKwp9Wanu+8jod090PKKoYu5ZDJ6jwoA2kMvetBOQRPOkPiB495t8pY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\nRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fea1284e1d0>"
       ]
      }
     ],
     "prompt_number": 42
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline\n",
      "soliton.PlotKE(contrast=1);"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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pYJ7vtRuAbmANcGmIdYhUgmJbal6Y5P6PwAJgIfBj4Ktu+enAle5xKXBHyPWI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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7fea0d011b90>"
       ]
      }
     ],
     "prompt_number": 29
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Individual manipulation"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline\n",
      "import matplotlib.pyplot as plt\n",
      "n=70\n",
      "fig, axes = plt.subplots(1,1,figsize=(16,6.87))\n",
      "axes.plot(sol.x,soliton1D(sol.x,sol.t[n],vsol=3.0).real,\"b\")\n",
      "axes.plot(sol.x,sol.Psi[n].real,\"r.\");"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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S1Za4zjFLNH9vo77wRkwPPWS3+E2ZYqf1vvWWv2tWrI9rXNxZVcfPicCbN7ur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\nHzy2X+Ehul/LAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7f52e106aad0>"
       ]
      }
     ],
     "prompt_number": 30
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<div style=\"color: red\">example 3:</div>\n",
      "    \n",
      "Soliton 2. For the use of this cell the files functions.py, PsiCD.npy and PsiXD.npy are necessary"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from Polaflow import Particle,Polaflow1D\n",
      "fot=Particle()\n",
      "exc=Particle()\n",
      "pol=Polaflow1D(fot,exc)\n",
      "\n",
      "from numpy import zeros,linspace\n",
      "from functions import DCI\n",
      "J=2**7\n",
      "x=linspace(-50,50,J)\n",
      "t=linspace(0,20,2**7)\n",
      "fot.Psi0,exc.Psi0=DCI(x)\n",
      "#exc.Psi0=zeros(J)\n",
      "\n",
      "fot.name=\"Cavity\"\n",
      "fot.mass=0.025\n",
      "fot.Potential=zeros(J)\n",
      "\n",
      "exc.name=\"Exciton\"\n",
      "exc.mass=2\n",
      "exc.Potential=zeros(J)\n",
      "\n",
      "pol.x=x\n",
      "pol.t=t\n",
      "pol.rabi=2.62989731\n",
      "pol.hbar=0.65731\n",
      "pol.M=10\n",
      "pol.R=10\n",
      "pol.Refresh()\n",
      "\n",
      "pol.Calculate()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "using the improved version  ShaoWang of ShaoWangV3\n",
        "[##########]\n",
        "[#"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "##"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "##"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "##"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "##"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "#]"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        " Finished in  00h06m05s|\n"
       ]
      }
     ],
     "prompt_number": 24
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline\n",
      "fot.Gsummary();\n",
      "exc.Gsummary();\n",
      "pol.PlotKE(contrast=1);"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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nmjVrZjsyHzRokHTo0MHjcpcvXy4RERH2z7NnzxaLxSJbt251qjd16lRp2LBh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\ngg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7f3434c1fe50>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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XiOLwtOMsBN0J3A04AWzCdScwQApwnrwOZHe3lU62q8jJ0QHAOjT67FmoUwfO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\nCIIgCIIgCIIm8R9+1HxOvScQBAAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7f3434e43f10>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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a6pNj5R5yAjIn+iXEN/o+RNFPEFv8Y0jH7UIqe9sCp6HzSug+aoXU2t8KdlIa\nWCjQSWlr3WYcUeSq0AcRpfRU4FfIvofVSVQ56TOwlTp8Lvr8BxCZPRlJhzuMyPV9wL8hyv00xFvd\nTHdi9aEBMmDW67nqPnrOZaqvIc2qHyAeiWrLwWwPyy8EZYXo8aw30Wlrvoyk4qpsP4qkb5+KpHif\nRPV1pNXnRjqPW+s7y6Byt7G5VpXQINJqnh79PkSsXL6H3KwxpMKMIQ1Dt5R9aJnU63hKEvAwdhl+\nJsU20/btpoKvINksD5llArnHpyGZUJ3KdkryWCBbec3hswyfcVr8OvTObGO9jDhOr51z9wE/QlKI\n1xDL9mY603iG8hlay1bpW2Vlc9vDWU7Tyrb7hI1KMWFb2GjAfNnoRN2eRe71g4hcP4zEzk9FpjQe\nI7lhTaqP4bbwvMPwk+rD5qz3bir3y4G/Rp7qVcCHG/ubCkgnJ4BaTlwhVAHtQHKPr4+ON0as7FfS\nOWUfVuSkSm1bdLVOwtbcWn1px4BqqyqcA9uu78S9VevFKvMCsWK5BOkw6kbDmdaptiD9DA3Ktg1f\nWGyIbTZYl9Tw2m3hq+Y0q4yorEcQBfRj4AuIsteEhM20PsArqUEK+4xCRTsY/DcsS2U5vD9aJ5KU\nt/UG7BvZ7Osl7fm12thPIQpclflOJGy4GdEjVyDKvR61PPDwvti3UKXJdu+V+wDwf5DRG48iw0+/\nhvQQJZB0MaF70im3qkD84t6LqFb2DwI/iI6lleFkYB2dVVB6bVaAk6wNK9hWedv/hYNG7IsPOs0s\n8jhVkT+MDB/fjHQWvRBpSLvlBUG1BZhEOxW64RNoQLZDizMJjVNDeqjGos83beRlCTFOxhAvSZ/X\nDuBnwJcQL1Xl+mRiBRXKYDi9hb6+0DY+Om1v0fwumv1smSWq5RSSZTx8C5ntKC2Zz2JQpir38FzC\nF/vYegPxvRwnVuQPIfMTrY/u1XOQBrTRkFcrnrr9X5JB0Jxih+4p94sRX3FH9PsapKlrQrmHyq5b\noYRQ2YOMgnwwWv4DSVPbTFwpTqJ2a5x0nqHrpUJsrY9QMVk3t2DW2YoQvktSt6kLl+QWNiokk1Rb\nL48jlqBaL68keSh9t6ilKJXW4pNN0KBsh2GEpHtuFYyd0tkq2LDMQvCfWpSIlTiIrOwkfiHMvyLP\nbzMSsz8F8VpVKeoxB5FMphLVynIo2j4Vncsg1fPT2zx1a8XXUu7hvQqVu747dyD61Hqgozi1Lg0R\nx/NVgVcndEcNAAAgAElEQVSIG4R9SJj2QeRRThDX8ZcidbwV9VjLUldC5W+NvVrKPW0ytWS6pdw3\nIFpBeQQJTCUQVlgbfgjnqwhb226xIlrOj35rq/4gUiEOIJeoFWcTsaBba0EtiXDaUpiv4HVbJWGb\n3cfO1aHHs9bKYML6pLikKgd77yeja1Sh3xNd52bgMsR6GUq9a90hzQpKU5hqMdZrBFqmQdm2jbha\nkRaVYZUXK/O6LbTqLWnl1WKAOIzzrGj/3ciz3oZ00A4gceTTkSymzUgDMBgd4xix4l8Sncc0ongW\nRfstivZZRKxQVSHbOqHnZBsEqPZA9X9JL0RfjHQwlxAPpIIo6TnEgxyJypqOrvEXSHrivdG+Wncv\npvXwYZocWtLCL+G1WsWepNzrpURX0y3l3qDpdANxJTgV6XSzrlzSC5+tldPCIVtiFElNe1L0+xix\nRftdpIKchLjDZ0af+rAGkds8Ey0l4kqtD8u6s9Z6C11V6xUkuXBFYmvGCoOei1aQijmfncjgmXuI\nlblmZmxg4fvcw4qSFLKy6y33I0Z1ha1b7+zO6TUsaNcTP1t9C5F9fvadrxAbALavKfy0JCn3eqeW\n1ECcGC1Pj34fRLy07cg8ODPR+Z+PNAhrYWAksmXWwVQF5qaROrEU8XJHEIWqyt1a2WHja8MtodwX\niS3woai8WaST+BjSuXwAWAyltTBUgMogTM1CeRAZ+fsjZAKuMjIT5RnAL0X/DfswkqinuJPkMOl3\nklGn/9d7YBW9bQDuREboz3LTTVvrnE9Mt2ruo0iTqGxCLJyAy4grQHhBkHzzQ6vG7rtQmRIjxAOm\nQARZO7K+iVgTFyAWwXnINR5B3FcVUKvUFxE/YEjufwjTz2y6l8YbC8SVAWJlousWI9bWQ8jgmK3R\ntrOpVua9yoVPsrjTwhpJ+56JGAlzXHTR+dx882e6cZINyvYLkOe6BJGXMGZtX/5dMOvUqLGhEZgv\n20mzg9YLB9Rz6wtITH4lkqpaQbzWR5HG/7PAJii8ElZdAYtOg91TcGQGMQzWII3D4qisYaqVO1Qb\nK3qdqvhD5V5A7mEp+tS6M4oo9zXI1BRrYeRsWF2B8a/C1BeRDuVzkInlLo3OaTYqU0M19WjkniYp\n/1r1N7TQ9VqtDtTwk5ZzIdLATrBly+nccsu/NHDu3VPuP0eayDEkf+g1wOvm72ZbLXW/0pS7dVfT\nYpKN0I0GYIjY83gh8bwo1yDnfzny1pkTkYq+BxEwtaIXI9e+iPkPHqoVv7XcVVnYjq1hquOjg0iH\n8Arg35Gh7ccQS+13kMo8Q2wxdkuxN+JOhgo7jMdaCz7JddX1Mw0eryUalG19nosRZaRKSkN2ZWLv\naZZY0c+affRTFaG15LVBsM+sVlwf6t8T28jMRssI4nVcCvwB8AiUb4THXghDl8Kq34cnnwxLl8HO\nNXDbASTEcSC67gFE4Y8w3wu1XqV9xjZ8M4LI8yhxI7lO7s2Fq2HtabBvGu77EDz4KRg8G4qvgPIf\nI8bU40jCxDTVIz1tQ1LvniR9T9rPlhmGELWOWgu9FHxq34Z6+1rnp4lfSzhIo3RLuc8Cv4+8RmgA\n+DiJnalaQdXlSoozqXK3HSNls85Sz4XqdqxeOz1GEav9EiRk81MkVv8uRBfcSRwrnEUUQInqUWxq\nzWB+6zGs+6aWkQqDWoojUdlLkXjqR5BK8UYkpUtjk5MsjKXeSGwyVO6lYH3BrEuLZU/RmMXVMg3K\ntj7PZUj8dzHyDK0Sn4nOV5/DjNmmiza61tCxnei1PNakfqt6JMnCDCKvM8AQVC6DwvNhahwOvh0W\nr4Ff+xDsWgu3jSNZJiVzzfuQOmH7hFQJWq/TNuaqBBfLMVkelbEYaVdnxF7adjXc+XlY/SY4/B2Y\nvQPKE0i/0RxiyMykXH+zclKrMbCyG5ZrLXPbh6C/h4mNgeHo03rgU0i4C5rp8+pmQPVb0VKDQUQJ\njRJ32tjYurVkZqh2ZdW6UMG2MUwroEkj/6B1q78RRWjPYSMSmhkHPg38A4z+BSx9Mkwdg/2acvUg\nooi1dR6i2kpXq96643q/RoitxPXABKw+EQo7Yf+fw9wU8E6kc2wPYknZrAcN71gL0IYHWuloUsJO\nXSWsKEnx1tDKURdeDQKtIFbRTSD3uquzKjYg2yNIBtYm+SwOwUB0n+fKUFb5nUQq70T0OYNYarqo\njIcvAddnZzvvQ9lMU/z15Nh2eqrMzUbnV4bKHFRGgGfASb8Mo5+H97ya4tkv5pQ/fR3Ti0rs+fRi\nJnetgMIcHDwBCaEMITI6GR1HDZLhaJ16NgPExsk6YCesGIXyckZOqrD6tY8we+tn2Pl//wnOvBwu\n+zrcsw7Ke5Dw52Rw7qH3EjYmBNvT5D0tbJjU9xV6JyVimdX6rcp8cfy9MAilEpQGInkBZmZhZhrK\nWscbo8cjVAcRpb4KaZlthVQreAZ5WLPmd5JlY91dqwDDPFebdZIk4PWUdzMpmWWkgh5CrvVX5bgT\nvwujb4eVb4HJArAeji3hiU6eij54tUJLxINP1D2z8cjIoikehJH1wH4o/RD2fABG/xAOPRcZmfsg\nsfII74m9H6Fr3Eg2QNr6NMvIVobQLbfWjSp0WzG0UgxCwYRnKrNI5VajoZcsgcJqKG6C0pr4tFUk\nZhEFX5mEygRUjkJZFf2kWZJkXhfrySalyqUp97BOQPWz1+ceZqfpcbXRvxfuWwecC6d+jGLlSzx2\nzZs5+RPvZerOyylsKzEzvYjZw6ugtBqmlyAGjHoe+hz1VXsq80PRumkYXAuzqymdtIjBUomlZx7h\n6M3vZHb7Qwy/5nNMXjcBN+1EPIv9xJ6QNhI2hBV2bCYp91oZKUnK3YZErfxqWTZ9c5i4MVsEjEBh\nCRSXQGExFIehVJTNGo3SBKAjFZjSxq8xeqzch5GY7yYkTmddDhWoGcQlOUYce1IXVq2J0KpRAQyF\nPxzMkKSkaylvjdelWf1JYR+bYzsAPAmG/hL2/g1M3AQv/d+waBi+uhZm1kJ5CGY0JngIaalXUD0a\nTt3dSFiKJ4qALJ6Elw3A1o/D9h/A6CdgpoLEHYtUN4ZJ16ZKWj+tC51GLVc1yT1NstBt3NVaOENm\nGSaW+iWyrjAApQIMFOSSpiuiKHmchc2/T2IZDK6CVUvFYVqBnHoZEeVx4GgBJobgaBGODsPEHMzO\nIXI+jsj9NCLj08Qyr99V4Vrla+XPGjqh7IdyGsb0obrxVStY99OQ0rh837sMVnyA4Y3D3P2Kd3Pe\nm+/j4tddwr3Xj3H3Y6fCmSW45RyYtc93KVL3B6IbpB7MSmCtWK/nDMD9p3Hq5Ts4+fQv8pMPfZSZ\nU5/FqnN/hV0/3wR7byfOsz9mrstmpOnvML7fiHIv1tmmBogaYaFRoota3SM8YakPDMJICZaWYEkJ\nlhbExtXqrrbuIeDhAty3nHTdNJ8MKPeVMHAiLFoLgwPVUZO5CszNwOwxmDsGlSnkAVoXVmNq1rLX\nME6SZROmnlnUA6iVgpak7Oz+oXtsz6EI7IXJo8AHoPwP8KPXwuu/zPDTljGzexlzewfhQAWmNW94\nGoZWwlz0qAYGYfoEJG5egkWLYXQNpZUlhjYMM7H1DRLu2fQduP9eJN6u2Qu20dNrUdIEvZZVrv8r\nButI2TZgPkMrXSuiei3aeKlCH4biiKThlRbDQAkGC/GumtgxuTRq0NoJJXWCpTC8HE4alqjceuKE\njaNIZGxfAfaXogU55WOIzM+puz4ZrZwkVuoq+9aSVkVuZdwqY5uYYJV7mJqJ+a2yrHFxKzvWqy7D\n4Rlmb9rHgeKT4SWv5t5PvYHBpQ+x8RlvpnDXYraddQLs3wSPVqJio0Z6eDUcOQZLR+DYOBSOASdA\ncQ1sGIKLijxpxW5GN/ycf/8f7+fcV7yCrYfex6Of/QYSYlRvRxs9ew22f8r218B85R7Ks+24t9+t\nPNuwoMqvKnONodvwi3rYI1AahOGiOOtrkODFWiQKtYYoTb8ClYLIxihwcKQpjd1j5b4EWA2LVsKG\norRYQ4gcTgHHCnC0BEeWwNERmI3cWI4SK/ijVLuv6vOqlWoVmnZgKqFAa1oapHe+JikNLV8FKSnl\nTC2Ho8jDPwRz74CJf4F/+CVW/f3/4sDtBSZ+sAruHoRdx5DKXYTla+DYYSlmZAXsORlJ89oPq5bB\nKScwcvFuyj98FxxdB0v+Fh6+D8lhL0X3yp4nJAt3WlpX0npr1elnaKWHnaNhDNK6rVoxFpllSbwU\nFoklt7QISwdgSUEMPzu+5hDwWAn2LCO5YV5IRmHZYhn0eTbSBziMiMYRpI9xd7REbRdDiNIfL0Vh\numHk2WlYShWZylhoxauMWU8xnGtdQyI2+wyqvdJQlovM9/i0sZiJ9p0AdkJlA9xUYvGGz3Hbx3+P\nM1/6f/md92zg7eMfg8pimaR1ZiPMrIZCETYPwy0H4JSV8NDJUKhIeGJwCC4vwKUF/tNT3sNffuB6\nRl7+IR752bNg1zbEun8sOq42dGHfml6jtdiV0ApPChHq74HgP7qPHTAYyrAq9xGzRB7nYCTHK6LL\nWIcMk1mPJNStA1ZVYLQMs0XYXZDHvJ2moo29j7kXRqC0SCrqSuLBbceIQldFmC6KXM8BlbDzTx+q\nPowkqzvJKklCreu0ciBZCRbMfvqwQwtCK94kT1TUY4eg/Cew4m94/B2/xZI//wrrr1jO3Pdm2HXD\nCjh9Bdy1CTYuhd17pOzVy+DQRjj7BLh/lhOfepiBp+9jz2d+h9KSZbDqr+HucZg8EB2riCiE8LpD\n6z3puoop65NCMeE6W0HC0MuAWWxM0lo5arEvlqUwFNeXJVS7r6rci8DBolhFPVfuRVFeenk2s822\nZ2EYGKCsVqGNE9vP8JmFHph9zrU8ryQvM9xH97NK32bwaB9QlNZZWQs7D7J/77Pgedfz4HXP4fPl\nnTzjvd9nzex+bvzRczmwfCVMDcOhCpw6C7cehlM3wOQyWFWAgQFWHdnHs178fXZOPspH3/dvnPb6\nd/GLHW+B23YTe6MHiRUDzDdekjqZ7T1Jut6QJC/Xlm+fQRjaTFpKYo1j/qJVIqwattokPa46pAVL\nF4iSxE1tg6d1XMNy81Lgw5Z1gOo7EF5SaEHWCjVYasWS6xEew1pI01RZTdPTcPDVlJe+kaPvfzmn\nvPQ6znjJvbBqCH65CIs3wWnDsGpcllOGYckmeGkRVizhtOfdwuR3fo2hE1cwWfo03LUdpqaojjeq\nJxEq93qdM0lWe61O0iTs/rU6Z3W/ULKj/ySF6UPFmTRUomfMSHjoCKKD9iDW+n6zHIyWw8h+R4jD\n7JSJO1fVOg8/NQRp0yfD/qdaS5iFY3PrLbreKnddr2HSccR1ivp2Zsvwg1Gmx77BzT+cYOjDv82f\nveA9bFz3MDwTeOYAbC7BaXNyM06bg00leMYAPAM2bdzBK0bfyd2//4ec+Jr3ce/Pfx+uUyNFw3nq\nyYRjBWyqaJhZFKaWhokYzSxp93zGLLaDPMo2molu2dHoth1G5GA/IiN7EWt95wDsKsjEq3uJ27IG\n6bHlfgwq4zA5CY8OywWXiOX6GHCsApOzMDMDZduhamPvumhIxt54+yDLZlEFaxWcjUOWg3UkbLPr\nam1TgdJ821memJKgcgSmh6hMvY2B00r87Pnv5oUfeQdve8PtXPu8F3Pfdecwe0IBNm4ACrCqQOns\nMqc//y6ec/hLfOHv/4nKmU+mtOF/Uf7SUZgeRiRGj6mj8myncujVqLUXakV1yS1aFsxX1rZc2+Bq\nZdNP/a5hMnX/kxRYVDnKi2BmCA4PwnQJjhRknEwYltlbhqkjNGXidIWDMH4E7lsKc0WJp+oAywni\nCn0ImCjDxBQcm4bpGaioYlAZnw4WVWYq13YQGsRybxdt4O260KO1pmEo/+F6qFaOOor0qHyvHIHJ\nxczcv4nR536ZO254OW97W4FfGbuGs8+9i5+NX8yDu06F0hCcOybe1lo4+awHePrgzxi58yv8wWt3\n8Yzf/T1uveOVTD+wCCano5tWio6jshgqc3sPIK53SijrVkb1t90+Z9YZC/yJfbUDNbQ4NP6uHuk4\ncAQqgzBTElmeWQRHFsHuonijK5Eck2XEc6HtQ0Iyjx+RNNoG6bFyn4DKYTh2BB4dgAOFOGQ4i1g+\nc+r6aVN3jLg1VKVuc4NtB1JSupitBGmZL2nrwzhl0vYk5a6LjWNqVsQhcWW3H2J66h2ULlnE9/+/\nD/Dmj67j4NOWs3tsJZXlwxRLEmybW7yPgbFjnL3hW3zv2x/ipEufxb3nfoLpjxRhzwOItttHXOk0\nJpqUNaH3I81N1VASJJvDoZkcpqCGnU9Q3WFlByRNUZ0ypmmeUbyyMiKpdNOL4fCw5AAvKsTZZdqh\nOjUD5YMp57uQHIDxg/DAKthTghWF+NFPV0SMj0bfmUHM9gmSjRbbeTpnPlXewiyZMP6c5KVZGQ+f\nez0Dxh4H4mc9iDyEUaTVWgmPjHDg2g2UXvZjtt31fE44+g/8+qufxZHRRexbtpxFQ8CFy2HwMFPL\n4ZyTbuWkn/4V/3T9zWz+549ww5d+l9kbHof9c0idPwBPjHpVo0SNJb0uPbdCsM5ee5pHmiQ3s8xv\nDJI6Z20na9inZPuThkWpz4zA+CgSkx6UuXE0W3RxIbZ9xivi+U3tb8pm6bFyP4qkrRWgshymBs3z\nqEBZrTm1YmxKmF30AYfK3LpkoeWRZMVitqWtT/sPNdbrNs29nSZu6fcjTfQeOLiMyiMvY+mZj/Km\nt1zFW9/5F7zkF9fytNMHWbNBStm1q8JXfrSD7z/755z3tMvZWflt5r6wD44sRuYAWYFULM0i0kqd\nlgIJ6Y2V3ZYUUql1vWEMctas1/Jsw2HDMXYItn5X62dEfpcjC34uim2DeHeVSaQjuVNvfGqVw8AO\nKE/CxDDMDsaGZrkCs7OyPNHIa/jFWudqlduQgbXEQ+sckp9zkjyH/wlppK9JlaQ1ptQj28MTszZO\nzFC+9VSGxv6c2372Yf7bW2/ktS/eyRmPf4FLno90Jq6G66+a5p73/5hPbT/Iec/8INs+92TKtwPH\nHkPM2inEcFHjznYepxldSeuT9tOc+CRC5a73IympQDtXCyTLtU2RtH1MQzA7IAkk0yU4VDBtVxlm\np5DYzAkp5zif3odlnrAyD8KsHcSkVqfOCaHpTjbeFcbQbOgBqgU9ySpt1nVPs+ib+b9WTE0jA1FY\nh2BiM3M/28fja6/gjEsu4XufeSsP3/9VOHExTz6vwO79c3z1u5Mc2lXkA390Bn93259z3zenYN/+\nqLy9iCCNUx2iquVtUGebYjutG/1fWserfiblwCd1uNrvkUVfGRSFOWuzHjSWd4Auj1BtgMhwKU/A\n1AhM2TEcaozUku1QhkPDIikjS/dvhkb6XiB+PkkhPRv61BRejScMwuQM5Xs3se+mAbjwy/zyurfy\nt5/4NhtG72TpmYtYMlDhF9fP8dXrjnLh+hW88df+K39946/DdXfB8DRM7SWW58PReUyb44QNHOZ7\no3XWhhsbJanvKVT6thPc9j0lyHV5AKaHRLlX1Zs54lhe4/2APVbuOkCpjCgkOymOtbxng9+2gyct\ndmg/kx5wKzHZTsRx1dpRa6BC3Ju2G5iAg7PsvPMCztr8bYa2f4M7T7iRe3ftYunqEc5+6wXc9sHn\n8YkfnMWD94/AYXVTbegqjMt26rxbKScpy0AFNHwmthLY72FKQSn4rfdRG02NU/eSKaQyTlM9TxBU\nh1M0LGNleS7Y1/4nLZQS7t9p6jUCul2NMq3TBZibhYlxqFTgvoPcNfNB1p/4G8yu/BrXHt5G4egE\no+edyOmPP5t9Dz+Nr964EbbvgcocTB2Sfrknrl9TQe1xkmhWUTfbKNY6hsq8lWO7XrdZxa9plXZQ\nFMT3VfufTmr47Hqs3MvE2SMaqlCsMKdZMbaceuGSdizuTqLnb2Pd2kl8CJBOtfHdk2w9ch7MjbPu\n6c/lpPMkV/2h20Z5eHaAh+94EozfA3NRBxYQj2a08dlOXnenGsS0ctTSsduTLB+bQ2grzBOdNbRW\nWTuJWuRJ8V2YHxZJ6sxP+k+v5Ljes7cNk9bTaFK6ygzMHgZm4fB+HnjgVCg/mRM2LmPNq4YZPTbO\n+MgoD33jGAd2nQKFJTB+HzAFZQ0x2vBe2Imqx0+y3Dt1fa38R/vZkrCyWyTu9E0Lf9n+lsbIgHK3\nvfhJ28NOurR4eLshk4VEr0sfpPYdTPDElApze+HoCVDZybavXMa931knRtDRXVD+IRw5AOX90X+G\nTJlhWpi6zlmh1jNSgQ+fud4n/e8M6XOA2FGbvcRa5vWwHf3dsrwXAptOqR6JSRxgGtgLEycA+zl0\nf4WtH72Ewp4KlbUFZrd/Dyb2Rfvtj8o6RGytW493jvnT3/b6mYfUOh8r10mj5UPsSOTGyIBy14tM\nauWSwi1pnSd5rRQ2lqqWXhSuqshApJn7B5gZiAR5rijbyoeIR+dBdY5tWj9D1kly/cPYo903VO7W\nesxCRW8mlJVHxW5lt5CwTsMmarhEiRGVw8A45cNzTN85CONTsGcRHJmFiqax6uAoHaRk9YQNt9bq\nTM06tTq00/ZtnB4r99CVs6dTq5XK68O02IelD9dm/kwgHYPTsFMriO6r8dxjwXrdL29KQklScGrd\nhNvUI7EK3g7WysI9yKPCbgabLZO03nYQq3KvILI7DhOD8NCcfN+veX9hmDaau+aJMRdpyj2v97l7\n595j5R5SqwVL6mTKM9pA6YAem5evcWONnx8lnllKQzfaaajplTZTyLrGeSdU1DZDodFMD2dhsGMp\nNI/PZojpdjNakwOIbEO1Yg9DO1a+ez2GIR9kRLmrW1er8y3PrbNFr8Nao7qocre942Xiib+Ivpep\nzmO3YQhbofJu1UD1+RdSvof7OwtPGDK1o6JtiEbDj2rFH4qWErFytyOX7aRo9pnnXa67TwaUuyql\npJxRa5n1y4O0lmgYXrJhKp2rvoIodP2Pfg87TvOQKdQuVh7SRhPmqWO937CyZr1IDRdqhotN0x0n\nTgpQ40Y9Vsy6MKe+n7zT7pAB5Q7pCqgfW+fweuy1l4Pvat3oe04LVHe62rz/CumKrZ/uoY23pqUY\nOr0jNFx0sRlMmtFUJB55fozq6Qzs/6xH4JZ7o2RIuR/PsVOrnK3wqlWu7mqScreWe1ayRBaC4+U6\n80w5WGD+CFwN0ai1rrF6K/+hAZSl1N7skhHl7ghJLi1Uj7ZURR9OreDKzskKYQjFGh5PTLAT7Wtn\nAbWdr3ZfpxVcuWeKJJdW4+tqrWjqo7uoTlZJy0m3WTS2o1UX2+eUlO6YlBLrpOHKPXNYpW5Ty3Tq\nXuve5n0Qh9O/JIUYdb0NQ4azX9r/2rCj7WNxWW8EV+49J0xZDFPKILZm9HvYWeVWvJM1bEjGymS4\n3s6ZkmStWxkfwOW7cVy5ZwJroUCszK1yJ/ieVnGO545pp3ckeY+NeJRhxpeGXrzjtF1cuWeCpMFG\nYbyS4Huape5WjdMrktJ8lXBwXeiVhgkClaCMJIvdxuKdEFfuuSAMuzhOngg7Sq2XGqbzwvxGQf+f\nNLGgk4b7PT0jacCRVeIwX/Btxag10tVx8kCtviOYPwLV4+3N4JZ7z0hzM+13K/Q6O6KdMzutLK8A\nzkLSqrwlKXddXyuG7zZpI7hyzwXWJU1yWZP2dyvHWQhsR2hImkeZNk2G/ie03hvBkwlCXLlnklDA\n03J805S3h2mchcCmNdZ6lWBaskA4c2RaAkE9IyXpGI77N5nDVhjFBys5WaSe5wjVnamWQrCt3gyP\nzVj7Drjl3mOSsgCSBjE1mhrmOAtJLc8xlOO0jtE0q7uZFEevB0m45d5TNE6YZJGElSK0XMop6x0n\nC9QKp9QLtbiH2gm6pdzfCzwC3Bwtl3fpOMcpSTHMcOSq0wXei8t1G4T9RaHc2vX1yvHO03p0KyxT\nAf4qWpyuk9YZ5XQYl+u2CNMY04ySWjJsGwUPPNSim3fHxwQ3TSOpja68e4zLdSq10hHDie8axeW9\nVbqp3N8G3Ap8HFjRxeP0EWmCn5ZS5vQAl+uaJMlwUkJAuD0Jl/l2aCcscy1wYsL6dwMfA94X/X4/\n8BHgP8/f9QbzfSxaHKdVdkQLbN16d6uFdECuwWW7Gdw6r80OVK5vumlbw/9qR7m/sMH9rgK+nrzp\nsjYOf7zh1kt9xlAletFFW7j55mtaKaQDcg0u29B452jaYCiXeWEMlestWy7klls+29C/uhWWOcl8\nfxVwe5eOcxzh7mkGcLluimZSHtPmkXGZb5VuZct8GLgAeTLbgd/u0nH6mFDwi+a7frrgLzAu103T\nyNQB+llvhKpnxzRDt5T7b3Sp3OMMm2EQzi3jccoe4HLdEepZ82nrXeabwZtCx3EWmFpWuocfO4Ur\nd8dxFph6yt0t9E7gyt1xHKcPceXuOE6PqTfdgNMKrtwdx+kxaVMW6HQGruBbwZW74zgLQNq0BJ79\n1S1cuecGzyJw8kpaJ6lPVd1N/E1MuaCeheMZBo7jVOPKPXOkTflbqLHdrXrHcarxsEymcNfUcZzO\n4Mo913hj4GQF9x6zhiv3XOPK3ckKtd7C5PQCV+6O4zh9iCt3x3FyjHuuabhyzyTu4jpOfbyO1MJT\nITOH56w7TjqVlO9OiFvumcO+8d0tE8eJKeOGT+O4cs8cYUpZmnXiQu44Tjqu3HOLp0E6jpOOK3fH\ncbpE2sCmeoaJ9zt1AlfujuN0iTTlXm80a5Jydy+1WTxbxnGcHmGTBvSlHBXiSfLCfV3BN4Nb7rkj\n6YUHLvROXqkEn+H3WuucWrjlngvslL9J7qoLvuM41bjlngka6WCqtc2Vu5MlXCazgCv3nuODlZx+\nw+U5C7hydxynC4TeaCVhndNNXLk7jtMFkhS5564vJK7c+woN8bh15GSVJPn0ME43cOXed7h15GSZ\npALjeuEAAAXZSURBVLmTvAO2G7hydxzH6UM8zz03uGXjHI+4J9oqbrnnBnddneMRz7BpFVfujuM4\nfUg7yv1XgV8gXd1bgm1/CtwLbANe1MYxHKcXuGxnFrfiG6WdmPvtwKuA/xesPxd4TfS5AfgucCYe\nPHPyg8t2pvHb3QjtWO7bgHsS1l8BfAaYAXYA9wEXt3Ecx1loXLY7Tqcsbn+RR6N0I+a+HnjE/H4E\nsXIcJ++4bLeETz3QC+qFZa4FTkxY/2fA15s4TspTvcF8H4sWx2mVHdECW7feXW9nl20nJ+xA5fqm\nm7Y1/K96yv2FLZzJo8Am83tjtC6By1oo3nHSGEOV6EUXbeHmm6+ptbPLtpMTxlC53rLlQm655bMN\n/atTYRn7XqyvAa8FhoBTgDOAn3XoOI6z0Lhs9wyPrbdDO8r9VcDDwCXAN4BvRevvBD4XfX4L+D08\n2ObkC5ftnuPvOWiXdlIhvxwtSXwwWhwnj7hsO7nHR6g6juP0Ia7cHcdx+hBX7o7jOH2IK3fHcZw+\nxJW74zhOH+LK3XEcpw9x5e44jtOHuHJ3HMfpQ1y5O47j9CGu3B3HcfoQV+6O4zh9iCt3x3GcPsSV\nu+M4Th/iyt1xHKcPceXuOI7Th7hydxzH6UNcuTuO4/Qhrtwdx3H6kD5R7jsyXF4ny3qgg2XtOA7K\n6gd2HAdluVx3A1fuXS+vk2V5JTj+2HEclLW9g2XtOA7Kaox2XpDdNjfe+JsdKefqqw9y5ZWdKavT\n5TVXViH6rETfC0AZbYOvvno3V175RrO9Yr7r/7pxXvkra926Ua66qgMn1CJZlO2FL6sQfC8nrr/6\n6l1ceeUbqJZf/V5MWd/OeTVGFstat26Uq69ubN+eKvdLLz25I+V897srOlZWp8vrbFnLufTSTR0q\nK6vX2Nln2SuyeD+yW5bLdTco1N+la9wCnN/D4zv9z63ABT04rsu20016JdeO4ziO4ziO4ziO4zhO\nfngn0pW+so0y3o/Eom4BrgPa6aH5S+CuqLwvAcvbKOtXgV8Ac8CWFsu4HNgG3Av8cRvncjWwC7i9\njTKUTcD1yLXdAfzXNsoaBn6KPLs7gQ+1fXYwANwMfL0DZbWDy3ZtXLabJyuyXZdNwLeRZNd2KsBS\n8/1tQDuJcC8kHgPwF9HSKmcDZyLC0koFGADuA8aAQURIzmnxXJ4NXEhnKsCJxJ06o8DdbZwXwOLo\nswT8BLi0jbIA3gF8Cvham+W0g8t2bVy2W6Mh2c7CIKa/Av6oA+UcMd9Hgb1tlHUtcVLuT4GNbZS1\nDbinjf9fjFSAHcAMcA1wRYtl3QgcaONcLI8jlRFgHLEG17dR3kT0OYRU+v1tlLUReCmiBHuZEeay\nXRuX7eZpWLZ7rdyvAB4BbutQef8TeAh4E+1ZJJYrgW92qKxW2AA8bH4/Eq3LEmOI1fTTNsooIhVq\nF2IJ3tlGWR8F3kWsxHqBy3Z9XLabp2HZXohBTNcibk7Iu4E/BV5k1tWzstLK+jMk/vTuaPkT5CbU\nGhJWryw9x2ng022eVzs0Puy0N4wCXwD+ALFyWqWMuMLLge8AlwE3tFDOy4DdSEzysjbOpxFcttvD\nZbs5FlK22+I8pCXbHi0ziHu2tgNlb0Y6QtrhzcAPkQ6RTtBqXPISJG6r/CntdTyN0Zm4JEic9DvA\n2ztUnvLfgD9s8b8fRKzB7cBO4Cjwzx06r0Zx2W4Ml+3myIJst0S7nU5nmO9vAz7ZRlmXIz3lq9so\nI+R64KIW/lcC7kcEd4j2Op2gcxWggAjWRztQ1mpgRfR9BPgB8PwOlPtcspFR4LKdjMt262RFthvi\nAdqrAF9AHuwtwBdpz0q6F3gQcX9uBv6ujbJehbS2x5COmm+1UMZLkB77+xDrplU+AzwGTEXn1M5M\nRpci7uYtxPfp8hbLejJwU1TWbUhMsRM8l95myygu2+m4bLdGVmTbcRzHcRzHcRzHcRzHcRzHcRzH\ncRzHcRzHcRzHcRzHcRzHcRzHcZzjlf8fjWLJHU8jBpQAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7f3434c6ea50>"
       ]
      }
     ],
     "prompt_number": 26
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<div style=\"color: red\">example 4:</div>\n",
      "    \n",
      "Airy packet."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from scipy.special import airy, ai_zeros\n",
      "from numpy import linspace, exp\n",
      "mx=500.0\n",
      "mc=0.0658191\n",
      "m=mc\n",
      "hbar=0.658212\n",
      "Xo=10.0\n",
      "Om=2.66947\n",
      "Bo=(ai_zeros(2)[1][0]-ai_zeros(2)[1][1])/Xo\n",
      "B=Bo*hbar**(2.0/3.0)\n",
      "au=0.05\n",
      "tp=0.0\n",
      "ki=0.0\n",
      "\n",
      "J=2**7\n",
      "x=linspace(-50,50,J)\n",
      "\n",
      "def Airyfun(x,t,B):\n",
      "    xxa=B/hbar**(2.0/3.0)*(x-(B**3.0/4.0*m**2)*t**2)\n",
      "    xxe=(1j*B**3*t/(2*m*hbar))*(x-(B**3*t**2/(6*m**2)))   \n",
      "    return airy(xxa)[0]*exp(xxe)*exp(1j*ki*x)*exp(au*x)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 11
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from Polaflow import Particle,Polaflow1D\n",
      "fot=Particle()\n",
      "exc=Particle()\n",
      "pol=Polaflow1D(fot,exc)\n",
      "\n",
      "from numpy import zeros,linspace\n",
      "from functions import DCI\n",
      "J=2**7\n",
      "x=linspace(-50,150,J)\n",
      "t=linspace(0,20,2**7)\n",
      "fot.Psi0=zeros(J)\n",
      "exc.Psi0=Airyfun(x,0,B)\n",
      "#exc.Psi0=zeros(J)\n",
      "\n",
      "fot.name=\"Cavity\"\n",
      "fot.mass=mc\n",
      "fot.Potential=zeros(J)\n",
      "\n",
      "exc.name=\"Exciton\"\n",
      "exc.mass=mx\n",
      "exc.Potential=zeros(J)\n",
      "\n",
      "pol.name=\"Airy\"\n",
      "pol.x=x\n",
      "pol.t=t\n",
      "pol.rabi=Om\n",
      "pol.hbar=hbar\n",
      "pol.M=10\n",
      "pol.R=10\n",
      "pol.Refresh()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 17
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline\n",
      "fot.Gsummary();\n",
      "exc.Gsummary();"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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p1K1bl3nz5rF69Wquu+46PvzwQw4cOJDultzevXtzxx13sH//fnr16pXpd1azZk0OHjxI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\nliRJkiRJkiRJkiRJkiRJkiRJkiQpv/8B7iopnQRqUN8AAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7f27ecbbad10>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Fi1x9RqsbN27Qp08f9u7dy3fffVeom5EkMORAagyiMFNKER8fb0rbunWr7Ud3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\nkiRJkiRJkiRJkiRJkiRJkiQpv/8Ahs3myMVdHfIAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7f27ecbbabd0>"
       ]
      }
     ],
     "prompt_number": 18
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "pol.Calculate()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "using the improved version  ShaoWang of ShaoWangV3\n",
        "[##########]\n",
        "[#"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "##"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "##"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "##"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "##"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "#]"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        " Finished in  00h05m50s|\n"
       ]
      }
     ],
     "prompt_number": 19
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline\n",
      "exc.PlotXT(contrast=1);\n",
      "fot.PlotXT(contrast=1);\n",
      "pol.PlotKE(contrast=1);"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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CT5Z4RiONglLYBqdSUpYepfIxSIwnMBL8SOHFJWGc0YnndJMZiWctBhKxxEPh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HowSPvlBNRQiNiPrc1RQ1kip6bPwXMhGsjq2w7VwIEkhM0Q1hNYvZBgrFEEOyHsBrDvwJ6y2enI\ntcy7oskvR7A6hFUBgwiGkWjtX8iKdhJGgxtG/VsGLOibJbHeEOgcvypQWjzlRisyE5KZgI2JWdFn\nZXrcJWPuNmPWi55EFl+4cBXAZQxXGmaVhHmtSsgLSZk0dTha/RnV2vq2MX/7kHQ7A6ZFixafKh6X\n1P/iXIK1wlAOIucbmG+oZi7VBxe6ARQdaTqab+DmBhZ3SAJj3cNft6xD09rp23879jEaHF8kGSeS\nKlz1JHO8ykWT9yfgjSHsQceD2LfNRVaHrmKoRtL9OgxlTZD9oQNsPKu+dKx+jbhh9pA4gWcanlV4\n3RIvKvHckmrloFcueu6j7yKqO0/+rD6404ro+YbO84S94TlP43ccdd6zX1yxV14xyBf4SYmXFqjK\ngJEmo9wPKAKfdRgz7wyYd/qcZUecpodcrfdZ3gxY3QzITiOK44DyOLrfTLnSsKhkVSEYT5q3sGmT\nbH+/HcGLfMZt9kuLFp88HpfUX38LairLZGBOQJ/AKoSTGNQAzBPgAPQc9A/AjwhLHtKcEtY9/S/k\nsffz5GoTegBOV3RqLxKHiqtEcsi6kD+F0IOuBwMbJTCyWeWZktjdpANpJG+zp4SstzNianWiHpy0\nRlSeCfDEwAsNLyuCwZpevCIKEwodkFcB+Tokv42pbr177vSigsn0iv3pGV+EP/Ir9Vt+Yb7jRXrC\n8/UJ49kcLo3EBNQOQ8AMwAwV2TRg8aTDMop5E3zBa/8LXve+5M3uK17rV9ye7bJ6MqTc8eU6u8iG\ndaZk0EdW2uyc7YNQ+DjnZdv9Uv+szlxopZgWLT5FPC6pj59B0IUghiKyluieDJIYBxBGsOjD3IU8\nBnMoaYr9CfTHoDqwrGCZAg44AzuNyBft22g7QENBJ4SBL/NGay4qHAh8KHwYKLkBGKr78837jtFK\nNfNRQ2wmOkLoe/ax9WtuaPp0ukAHnJHGm+R4OynD+I6pf8PAW1AZ8ZQnQcwyGrIcD4XkKx/PKYh6\nG7r+kolzwyGnvNRv2L++ZfTuju77DbxH5n8kSOGMva4pREcpnVcbRskC0/dRPVCRoXRdNnTQPY9y\nHLLeG8jnXo8AnNu/UbuSiKnrcBufpkrfJvYWLVp8TnhcUn/+ZaOkrIH3Y6l2n4D62ghZvlOYd0rI\nPQ2hPIRJCEcBuBV8WMBmAaYDQUdSGmtDR1nKIWJpJKVx4oj78P7cT8nIuIKGyGuHYp/7iHUUQtIr\n5LXH9vcDmmq8ViYShBwX3HOg6mj8OCfspgzCBVNu2OEapQwOmnXY5TrcwRtlrNIepF2cyuD5Ob6T\nE7NhxIw9c0n/ZoP3Ywl/i3SCvkE2ksJep22C8m4rvLIidjM2T2akXsgm6jBjzDU7LL0hi3gif3MP\nubGprZE+cpDq1B/kdjJjS+QtWnzOeFxS/3dpyHEGfK/ge/D+UYb/L+Soqab8m4Dir0PMqQu3oQxq\n/tqFX9kM9qqEs9RW8NrKCHalRrokUy3dpaER+aRWDsB2niJEVkvBtS27LlA9ZBOoZz7UFu8BjfTh\nbK26oLUzm7V2yUYR5dil11uTRyFl4OFZzURhMCg0Djrx0LchZe4wn0zwgopz54or9rhlihs4xN0C\nhnmzAfn2GhSywdRa/xTYgbwfsPL73DHijhFzhqzLLkXiN/r/drdsgj1HqL2RtQXy50K8WrRo8Tnh\nUUnd+zdy3F6F09WYa0XZ9yk7PtE/Tun9S3f4uznLYMQKj7Lvw6kDVx68BH6J8Mt7LRW7oyEyUnXW\nkvraiKOjZmRlfn/8dx305W79TNFEiNfBXfVa08T01jMkKpoepbpPaQGmoyiDgNL3WO/2WEyGBG6G\nrwoCJyepYpIiJi06FJcR5UlAtfFYrYbo3OG0/5R30UumwQ1F/wTvQKMKje+VeFGFyiSl0TiKas+h\n3HUpnvrkRwH5JOBDfMg7/xnv9AtOiyOu8n0WsxHZVSgHpLUVf2akQSk1UBRyzvGRrXE76+VhmFdL\n8i1afA54VFKPfz0n9td0gw1lx2e+mTDPJwyfzHkaH9MJ1nyYviB92aM0fkPC9uyUDOi6oOpy+kGg\nV1mCtwF1JxJMGsA6/HnLdUEza7k+e63t7TFyJ3GNkHXNX/VzM5p+pZRmoEY9os61KY1zl9WrASev\nHG6CEaGfEXoZZRqyvBmxuB1S/STZMGam2Oz3yJ50ePs0x3tRsTzq8esnvyUZRrz44pjR3YLx3QLX\nul+0o1gPOiwHMTfdCRedfS46+7xxX/LaecVx8ZzzmyPOr49IjruUP/ki3xwj+vyFgWUpn5tJwNiI\nhXtLY539Un9421kvbfXeosXngMfNU5+mxM6avlqQJxGbQQ/GEHRzev6SnrvkppviTLUcPtaNofVw\nisqxh6IdseBlrvBOiCXc0hLTrQzKmPWblMWHakL9jWPsuDu34bEuIuNcI3kyupDXrnzIfLj15DE9\nhNTrfqZZBreZ3CHMQjgJKc5CqiuXzUWMH5b4QYFeu2QXHbLzGN6U8KaAmaYceJTDkJtXu/BLmP1i\nzGX/gNe9r3jSP2fcmzM6nONQgVFUuCydLiunx6wccbOacnM95Srd5Srd4XY5ZXU+ZHU+pDzxJMTr\nxMBtAbc5rGwyo862fOp1fECddrbtU/85Qm+7Slu0+JTxuPKLV+JR4lOglYfranlH16CUXb5puvLr\n7PN68ETuQBXZf/sy9FkjEkqIteUtwVzBOoJ02jwfHjjyrEyjjDxZOeIEWWArdQMzDenWvLqkD7dD\nGHhNpZ5gc9QNJCtIb6U1//0EOj76Bw/9vYt6FlKEBhUZ2CjMhZLEgtMCzjYwK8GJwemwet4n+XWX\n018/42+/+Ed4X1T4BxnRcE00XKOUwRhFVbrkiw7ZMqac+ehrB33joC9dqisHfeVgLh30lWqucWGk\nG1bPJZmRtSX0dGvVHabb3vSHRP47H2iLFi0+QTxuoNfpiCryScOIauOzmcdwA6tpj7PigMiMmOUj\nqrUrPFrnoJ8jB4SpI3ZHbRuFMltluj5UAVRagrzIQC9AX4LamkdnbPKVqXPDNwgx2Q6gtQeVJweR\n6QKyBVRbQyI2Eyi1dIL6GoJKUg7TXMi/tMu49k4iFKvgQmFeA16O8QoZRrGqYF1JQNlSyV2HJUhz\naptazxz4qxKmJc4gx40y3E6KIsNQYKqSKnOoUgeTOLB2Ye2IFXOl5Ot9c6iBTEvT132Y/M8R+N91\nSPqwGm8r9BYtPnU8Kqmv34xIhh3c4QBuFdVVgDlTLKd9yqXCjUqSRY/y1pM8rTpTq3aw5MCNIzJI\nlUruSlGC7kp8gNHifDF1YPqFzXHp2ZVjxW6apEIH6T4aCwlnPkJU5/J8cu43hcyFLIBlfcqab73O\nqsmRcexE6moDMw9ulTT1mEQibo0lUVVI4JfTFf++g8hBlYZzDRca1BqlVhhWlGpJWXc6GbGuGFPa\n6GAlHaHatxk2jsQq3Acqarup1VX3w7b/bWmlxs+ReIsWLT4nPCqpm/8ZdN/HDFyYg/nRgZ+gmEXo\nUxdnoilvfPSNHebwGniH8PApzSCKEoRI7USKfAeqHaCSih37/UfRsiWNAH6HCPUjRGupvYK16XyF\nENh463FDUJEsHJEsTMl9Bq4aQjeGuCOr40MnkEaoTEmlvOzAcgClde84BqZesyYujF3bGGWgZ3Cj\nCDcyuIGD44Q4bh+jK6pKo0tDlbgyc3TtwspW6Qu7rBtH9gEb87vR9u+svYzbg0of5rzUm8DDyUbb\nHactWrT4lPG4PvX/vcDEDib2hFzOSzhPqa4N1THQUw0HX5VwksNNIba7S6Razxw5MCVFdoYr6QCt\nXBqT+YTGa/gwUdASlOoAU+lKVaJlY5RU11rZyNxYUhn9MQQjm9sOqFIklLICHUpVrDyYxrATw8S/\nL/5r6Z4NzZ3H9hzVI+AZOE81/lGO/zQlmqZ0RgmdYUIcrYijFYGf4iqNqyq0cai0Q1X5pJuYZBOT\nLQPyhaxsFpLNQvKbAH3uUZ27mCtl3TlG4n+LtQzxNitb9X9kWudjW2POxxW9ps17adHi88Djkvpf\n3oo04cZQFZDPILuTGZlvNXg+6ImsfAPZJZhraYwp7YGmHoEZ05yQBgjxLGjCvYYIo9ZZMNsdRbad\n1RnL8mKIXMlBySJIJpCW4NgOy74HOx7sKJGBQqTxadWDVQcyI5uKVvDUhSNHYmr2EStmPRe1Qtw8\nN/ZSa0nfPs47LJgeXbJzdMHT7nte+W946b7jQF/wpLpkkC5RqUGlBuMqTKAofZdZZ8Rtf8TV/g4X\n5T4X5T6nxSGnxSFXyz02xz027/pUx561Miq47sB1AMsulD2RsUxd0tdj7Opu0rpzq67c659tT0Jq\nib1Fi08Vj0vq1wocZYs8q/HqXLRq5duccsRCyAphwDPQPdB9hFHr4Q0eQt51UmNtl/EAF9wQ3EAs\nkCirMReSvmgKCGPoxCKR1PMvMh82HeG0mruGNHlifbs8BUsfFn6jYBTAU1nOs0oGQz/L8cMC3y1w\nqShWvqy5TzkLKGYBjA1MIdjJ2N275Mu97/kl3/JHyW/55eo7dq5mTK9mxLcbVJ2MGwBdqHoOi0mP\n5bTH9WjMxWCP8509flRf8SNf8zZ9xUXvgHLik44jiB2M70DgygGudiHxJLjMbLfX1l+3D0nrsJlt\n1EmNLam3aPGp4nFJXfXEqeLZ3voiAB2D0xOZwwmhLMRRYur4wwWSpPUS0TRqDbjuGFIIK0f2Tax+\n44cQdSAIGm4qQsh6Eq8bK5jYMK/anrg9NajmtAFC6AdIG/7Yvl2tVNQunbV9zBNwD0riZwt6r+b0\ngyV9loSkrEyfpemzWgzEO37hY7oG+ga/n7LbveAb53v+ePVb/uj8t/zy/Afc32ic32jUWxo3UEeu\nyx1rhi9XDF6umXw14+Cbc5b9DhN1S58VkZ+hdjTzbo/cczCFj0md5u8sbDttFtCcOaTcj/ej5Pe7\nXlq0aPE54HFJ/c8DGZDRs3GvVz2ZM7oXwJNQEhXPFJy5sBxCeghZByZPYNyTqntWwK3TaOiOLzG6\nkS8VeGpEPgl8G8G+5QBJbV6ARqrd7Ql1PZpRozmNJF8X/3XX6pAmlCxFbh7q17R5Mg4G3ynoeAl9\nb8GYGV3WhKQEZDihoQhDVuFQ7lwqULnCryoikxHmKeEiJ7gs5ID4PZTHkC0hXYIfQbSEYANOR0MP\nwt2cKgVFQZ8VMRtCleK7OW5Q4QSaKjD3Rp57RcqB5rbkYabC3yfMaztPHVrCb9Hi08Ljkvq/7MNE\n5AYWLvzQhe+7qF8Z+BODGhrM33iYv/HhZAK3MRT7sBvBVx2Rx3+0XvUqACKp7mOkiNcG7krIMvB9\niLUQcF1sejRW7JqoA5osl1pJKJEbhDo0C6Ryd7mvksnl7akQpcjjPk9GZQan1Li6JDQZXbVmwAIw\n4sw0IQszto9X9qDXwUQOZqAwlZK4eTvOlJWc364zmJcQF+DkEDzo4FfaoCypNt8pmZRkbJ/Vz1rO\nf+4Xfx9y3ib+tgmpRYtPEY9L6v/Y4OyUODsF3Cl05KEdn+CPU4I/T3DHFZnTIdMddOABHUgCsfk9\ndWSW57UnernjyUGmT+NKLDVsMmAlnm0TCzfV56Xb3am1I6WOng3tY0BIsh5TaiV6DCLRDJGNoHb/\n2VGmXHGfrV4UHsthn+LAQeOgPEPpeSxkOB2LfEh2G8rBpZV5iq7PjZrwZvyK8WDG4Zen5GMlRwNd\ng/ccBmuI1uB1wB8gm+OXsjZPY0729zlV+/yWX/Edv+Bt+QXXs32SmwHVuxDzwW0CvW6AeQVJAab2\n22/bG+sks4e+9lpzhzYqoEWLTx+PSurqa4O3kxPsJpgbRbHukC98vBc58YsV3lTIvrgL0WsfZg5c\n+VJt7wCugdizxaHNvXVozkoLG+jFnVTy+UD4qa7KtW3sqQwkjni5lWoUhFqOqJAGo7mxlbudjVpX\n9PexBQhBniEBWVba0CuXpBeTjQPUBFRXsen0WFdd1lWXzXmX7F0E33E/BrTo+e+t8A0AACAASURB\nVFw7u/w4/IbOJKE/WtKZrOmonE4/x/+yRCUGJ9HoyEH3HaqhQ3nkUx56XA52+cl/yU/lS97lL3mX\nveRk8ZS7kwn5SQf91hff/1vgUovjaFlAuZGGqPvxTQ+JvY4J+H0xvK1nvUWLTxmPS+pDQ9RP6XUW\n6Nhh1XUpBh28qCL0MnwnJ4tj1MiInFKPJa2raQexGirfesrVx+GBprDWvAvpDl1MhHhDhHDTCspc\nmoY2PuQBbNzmfLAe9qMNXFVwU0GhRO4J3YbfZjTfn9MkH1oXoDlRkHtUqcviaEqyN8AbllRrV9ax\nR/UbF/MbdZ9rnvcCzjdHzPSU2ZdT3h885y/3/5y9F9fs7l0zyBZ4usCvCgo3IHVDNl7MXTTiLhxz\nwR4fiqe8T5+yOe+RnPVIT2PKDz7lexvmdWqvd1NAkolt1Cxl3XfG1kFeW/EIHxF7a2Fs0eJzwuPK\nLyXo0qHSLlo7GC1zQYvSJ0k7FKlHXoRo4zTPqTvy18ihYo5tibdEU1WQ+mIxrCrIrW5SLiFZQ5FA\n6oHviasmnwMrKENZVQjG5rS4td2yhOUC1gup6vMI3Ai8UJwiJ35TuN7lcLmBm5R7sks9jInhtkO+\nH5HvRSLb1JbEyxLepfAuE3JNc3RoSJwuyV2X4ukhyycxx3svGHszxt6MrrPGUxKIVhifXAekOmJR\n9VmWA+b5kFk+YpaNMNdgrgxca7hJ4GYJd5XILcsSqkxiFnRCEw6znaVe34bU0svDWIHt/5yW4Fu0\n+JTxuDEBt4rMi6g6YBJFuQkxa0Wy7JAufJSjMQsPvdqKwc0QZeAKIdw1lldyYAk6hbUdp6S1aMSk\n0i1ZLSCLpWNUxRLkZa6RTBd7Qlr2YTGF5VTeQNldRF+AeWdzVQZQDuF8AjcTGyCGXWvQ5/L4WoqY\ndWF5CN8eQt+O1IvZCtfKIL+RpW+BmYR7/cUz+H+fsQn7pNETLqJnOLHGiTUqMCgHub5KyWXlCr1x\nMBuFzhW6Al0qm8KY2O7YxP47lWVsBW62u0UfRutuZ8TU2O4mbdGixeeCP5TU3yIUXCGM8U+2f2n+\nRlHt+uhdySYx37rwI5jMxaxs3smJAycKTjXcaZFMLlxwXclKuars2DV7OmmWkO+KZGJyKH0hYSow\nl0ACpvYgruQ53HLvbTcazLZIXmeJr5AdxZdKnhgKI9G+amlTIBf2eXV3q/VImh7kfcCBKpdq3Mug\n2MidRCV56OgueAH4UwgURCOIBphOSBX5VJHXjOrb/p+pLxW2lBFjD4CNvQOpbZ/bo57q/5Zy62fb\nWS4/tx4+rkWLFp8T/lBSN8A/RVjzd/GXCl2HV62B1wbeGHFinCjxlM+VNNhcVTJ0IsvhMhANXCGD\nHaqc+0xecytxsnnd1l5nv+Q04V11K2g9pmhtL6jOkME+fo5czJJ7glZ9UANQI9k0TK1DnyEidQhq\nF9gFZwecqaQu3rv9Cpu1spCq3NzaNMd9UHsS/tWNYODjTAxqonF6GicuceIcxzUox/oR6y+ZtTxm\nDjpRmNRBrx30UqGXDmxCTBJK7IH2t5ZnXUEJjR2o9nEqmmaj7WyXtjpv0eJzxj+E/PL7O1b+7wq6\nCvoKCg23pTQTXWiItPBMHsoBZppAci0kmPmSc648KCwx3WszKVJ9112mHtL2WVelhsbS4iLk3rGP\nqdtJ60nUXfu1Z38/Ab8HnQjiUKp6raEcQ7oD6ReSA+N1pCNoGsJOKC9bD/owIZQO5B1YjGD5VHLh\nq44M/HjqwVMX71lJ//mcwYs7Jt0b9rwrdrwrumpNV60JyFEYlDFkOiSpOmyqmHk14q4aMSvG3GQT\nZtmE4iKgPA/QFy7cxNLgNevBbAp3hcgwlZVl7g9Htz/PbU395yJ6W8dLixafC/4hKvX/CWGB/xz4\nLz767U9r6fQMfMl9yVPIMxqCqKtGg6g4F8AZFB0o6nyXOhJA03QPaYSYDMKoA5q9pZYd6irUvo9r\nA72c2NoaHalkS0/IzpnIikOYKin+65crgOVEpggZJAvGB54DL0EdGdRU40wrlDFQOJBG6Isu+sLF\nzNV9Zoz6pUb9WtP5Zs3hi/c8f/6GF+47XqbveJ6+Z5Av6GdLoipFGWkpSrwOGz9mGfS57ky5jnY4\ndQ94Z15wzHMWp2OWp0OSDz3Kdx7V2xjzXsEH+7Ek9oC22NAEedXkXgefufyupbGWbdqUxhYtPhf8\noaT+ryGu7V3gfwS+Bf63+9+a/1jcI3kA6l8H/jGiYde96w6N1eUS8d+dAXtIFV1X4gophXcRArdZ\nMveG9e0NwKepMG07qSoh7Ir0EfryVE/JuLpVR3T80Jc1UU2gV7D1cjNgpppUWoBXwNfgfFERPE8I\nniW4XoVjNGSQnnRJT7qU577cXFyB+6sC/88yxl9d8Ufd3/CvBP8nX96+4ej4jIP3l3jnJd55ibPQ\n9/JLNXSopi7lrkv+MiB76XM22ud792t+8L7izd4r3g1fcXpwxGpnyGo8pBzZEXwh4v2/ckVz14i+\n/1EaI/yu3l7f8UCb0tiixWPirV3/MPhDSf3Mfr0C/jvkoLQh9fF/BH4syyhp588MxD50Awn6Wucy\n6CELoOxA2QV/CP4EGFpeVs3hJVokEAk6B+rqOZRYXXfrMLQqRY/XBYShxOr2nMbHvrZEvkbI20f2\njB0krKuHEKODzSanSarNkQ7PffAOSvoHC0aHNwR+hksFpeKms8vNwKUaOJhQogH8aUG8u2YyveYV\nb/hT/Rte3b5j/P2C4V8vST5A8gGyedPmH40h3oPwQOR9rWFwtMQblUTDBK9TUnY8siBApy6bvAe5\nJ/vnCsmkXzqSk1NF9uC2brOt08wK+5lux+3+voyYltRbtPiHw0u7avwvf9Cr/SGkHiMssESo798G\n/tOPHnF0BANHJvsUwG0EtwaOFDxT8qzjDhwbuHNlzmbVgc4T6O3LAeTSDqcwW/qu8mVRWe/1RvLR\nu7YLtHLsTFNsB6cj5N13RDqPaSyHMc3gI4MQ+QCRX+rl0dw43CBVe3222gO/mzMJbjlSx8RsCMjR\njoMaaFZuTKp91NzDnDsEQU7PXzJ1bzgoznhVvOPw6hzve435v+DuAs4vYLlsjjWnA9ifQHgmNx2u\ngSjPmby8IxuccKdG3DBl5kxYdwY4Yy3NXAN73bG99kBB7sp4QHyaW5Ga0Ot3bNGixeeKP4TU95Hq\nvH6d/wr4Hz56xJ94Us1OEII9VWIg+QL4GkueSoj0fQdOp5CG0B/AQSR5L+d2wLK2rOsgQy4iV4g+\nrSDJwQlkOHRIQ9COkXyYvBINXbnNnI0OskdsT3XbPi+sw73qnJi6unfs47YGByn7nFoDv19aYSoP\ncg+zdmAO5cYlLSLWdFk7XdZ+TBqFRHFB0C/oLmDXh4ErvVfKkal50RD5LO2qBi5pGLFQA5b0WdFj\nY2KKPMCslVxb+uBvK4yU+X/ngWhbhbdo8TnjDyH1N8Cf/Z2P+FNEBt8zIlmMbXX+C4P6NTCSDC4C\nBSqE1Qguu9D34cAX3Xvjim+9QiQVhR0jqsSrbQpIU3m+oxsJ3kEIbGOzdY0jz6/dfHU+TK3i1PHi\n9YSiehBGPReiRsF9kFe99FJRZh6ZDnGMRuNgtEORh+h1gJl7Ut1fQ3EXsF53mecjbtwJF8Eu8WDD\neH+J/6Kih6FbGggkv8xxwewrzBFUzxX6pYt+5rDe63LTnXDGARd6n2uzw102Ill10DNH3q/Ofd8g\n0kuhbXNVzfQPyf1heNf21xYtWnwOeNyYgKlBPalwDkvYKPTGxSw83GmBt1ugRprq1qe8CTCnViLB\nBd+BjiNVcp0Fo7VowRgpXx1bqSs7FLQqINPNGaqHaOpmLSs1MLc2yfoMcM3WoGZkNmqFWDA7W39H\njBhz6nPcD8gdRw+IIA9CrqJd1pOIIM7wvQJVGeZXU7J3gRwffwt8B2XHx4Q9bpM9vjv8Nb2DFZf7\n3/Hlv/qaV1+/JbzMia5y/HUlf4cL2dBnM4lYTWJuRjtcj6e8j5/yk/8lP6ovOL17yunsKTeXu2Sv\nI6o3ngzwPkaCx+5KuaO5jwlY0rhftkv67byXtqO0RYvPEY9L6h1QXQMDA55B9VxMDCoyOEGFCip0\n6FniVtJFittU2u7WcirQ9lBPB5KkqLUdhZfI7M1UN85HF8gLKFfALWQKFpE8V9twsASpZhdGJJxN\nLr+7sO6ceh5zjJhzLoGzAi5yuM7hOAQVUGifhRqy8Ht4vRLPL3EqQ/FDSPmDDz9U8H0BxyXa99CF\nz/JmxI+//IY89bkcPeFscsjp/gHxJqWbpPhFafUX2IQRqzBm4fc4K59wXh5wOjvkpDzipDhicT5i\neToiOe0Kib8HLiq4rKSpK8vESmo2CKHXlsb6tmRbo9mODPi5hMa2cm/R4lPG45L6RqETF5U40r2f\nKimqVz565qIqg5lLlonEkVjCyJUUkTmNDFLVI+9SyPqwdIXUa7IqMhv2ZZp4XZ1BNQNzKoelZVea\nnVJHhnZkChIDSSndn9WVzPA824HbXbhRQuQd5ID0GliuYH0G5gouDmDxBC4HmHMP3riUsU/lGvnb\njh3MsQMXCdzcwvwWfjuC4wnZX3f48EcvuP7jPb599ifETzbEexucsMQNCpzAiGSkHaqlS3XtUiYu\n2TyUNQtJ7yKyWUh55VNeeXJ9d0iEcJJDvoR8ZbNgtnWluvFoe+rGQ3/6Nnm3GeotWnwueFxSPwEc\nB+NYTf1cSXxL4GBcR/T1D4ikMatkLJ2pYO3BpScpigtjD/gSMNZ2UlRgXDCZROtSgF7ZsKySpryf\nI+Lyre3oDEWmKUNIQpFnigLKhHvPYhXARsmwjsoRu6WvJa5glUMxE/I3M9iEkHSaUXgXCuNXGKcE\nXcKshNsCVglkKyHYXMNcUc1K1olifRFxsxfBzhimBqISwgq8qimWMyObVWJEIloaWJSwWMJyLv9e\nGlgbeWxmpIv0XmKps4YzmlFQ20T+UG6pves12o7SFi0+FzwuqX+HvcOXCp23iM67phmobJtyOC9h\nvZFUwbsYqljcKqtKhmHoJUK8t1Aa6QSlEmKnRAi8HiJaNyTNaPyHl/I4vYC8C3lPLs7M7e9tJWsi\n2TBQUs0vHVAFmDvQd0Amh41oq9dfwzqBYwc+KFBZ81p6Kcto67Ov7TOVDB997cGxa3PjNbha3ovC\nfi2tn9xudqYCvf21fPDvqvHo/2wu+sPAroqfr77barxFi88Vj0vq/0zDlZLwrgI5aDynGQDt0ci6\nqxwWd1IBZ13QsXjRc2096rX+cW1JdYOcpOYIWRoaaaH2XOf2e9vIVGe9mPqxS2R3WdkLOkB8liNg\nvGX/g0ao78tjVQyRXaEvdxWegrKUCUx5LkMp8o110IQyX3UnhN0Adj3YVbCjiOKEOFjRDVa45Hjk\nKMp7Ks7xyIjIK59iHZCvffRKwVLbKl3LWhnY2Iq9tM1Fpjbr14ehtW+zllkeWhsf6uctwbdo8Tnh\ncUn92xTOXRh6cgB5Z6Sg/lmeSJCq+tRW0l2ErOtuxjqBccZ9tjrdrbV92FdXqB5SuQ8Qq0oP2Qhq\nIqu7KnMkmuAZqInkwzgd7ruXjCM2QF0hhL4LairNTFPbXFWnFCTIHrE0sChk5QocaZhSzwzqjw3q\njyq8bwr8X+SMJkv2OnN2o0sCkxGaDAdDgUep/r/2ziRGlis7z1/MmRmZlZk116s38pF8JFts9mBo\ngKSVbUm9keyVvbJgA14Z3nhhQd5YS9uAAS8MeCMbkDfyzoa8k7yzBBhWt5rqbnZzeI9vrOFVVdaQ\nc4zXi3NvRlTxkexmsygWfX8gkFmZkZmRt6r+OHHOf/4TMHZixm6HUdlkfNhlfNQled6g3Pco9l3U\nrku566L2nKqgO0vEX70wLpN1v5fJhfWqE/2LbHgtLCyuCi6X1Msfw1h7jStfmoDUxRFpJgI+QnSC\nz5Bo2BBxq7aZ9k6zNRFCb3N+0rSJTI0gPQR3CdwuEEkjU2nMwHrATFvorkKrBT0furrzSLmQhXDW\ngrNVeb+wIc1PLztw14HrCtYUrCqYi3c8xw489OGhK+cfXHAg/FtzGr8+ZfnrR9zrvsu9pXe5nu+w\ncXTI+ugIb1LgTkqcQlEGLmXokPUC0pWA6VKTnfgau9E2eytb7N/Z5Plsk9P9PsO9PtOdWKSMj5Ga\nxHELTkLthNmSAR8LDae5qjER/EVDL+P3YmwBbE7dwuIq4HJJXU0hC8RvRCkWI+n8EnzdSKQK7f2d\nSDG0nCFkXW/nbNXetMliCDUhiz54x+TRtWe6mlGRkiN+MmFXvGHMOSVvQtaWcW9+DEEM3UDMvLYR\nLTwezEPYbVWOvpH+2FvA1xXeqznhZkK4OUdljqh7Bj75D33ypo86chfBb+uVCctvHnLrax/yS8n/\n4deSP+fW4VNWPjyl//iM7Ewm8KkMvFAsbZxt+azsesBOd5un3W0eLt3hPe9V3ndf4dn2TRhAtudT\nrnuUXQ/12IOnHpQRjPXvoGhQdVuZW2q3BhdH2FmXRguLq4LLJXXnTZkVGvpi6JUq2VqIdj1CZIWJ\nqxV2U0gy4Lre+lRKlgkVm+rRdPgsCN7Rc0UJoOxIPlylwFz6+JuBRN8tKg38MIRjT3LRoQctTy4G\nriFWBsYaZU5lwz6nOp9slXBXEb0yZaO7z3pvn0L5TIsW09WY0azHaNQlbUYL8Um3fcot/xFvpD/h\n3v59Xtl9xNo7A4LvZai34WQGRzMR5bRd2Zo3oPEyRC8XbN97zsrrp6yunRA3pzSaM6JOQtFwyVoe\n8zxmNo9RmSdrOkWukuaenp5U91A3m8mvu7XFgYrE666O1qXRwuLLjMsl9a1+lfIuqAYxryPOMW2q\nSXInMQz6MvkoXIVwRVImC9WdEplgWRsjtwidCwlrw1DmiS7qf65WhWQ6qHckq2OEKJ4HM0+yEGZu\nRhPJyqxRdbMm+jiNkEYHrk5c4vRzopUZ3dYJm9EemRswokPgpeTdkMlSW76f5sTIS+i6Q1aKAb3R\nKUsHY6InM/IPIHkHznI40s2xKZo+U33N4pa0ejNa2zOSpYjVYMCKGtANzmgFE8JiTtYJcTqqylw1\nkA5dF86nrkzayxD5xzkz1gmdC/ctLCy+bLhcUn8NSVn3kIDQFPH0cAn6VLXPZ6EMhT4tIe5IGsR3\nqn6ZxJPcdqmocuzGXSuTK4KmHl5hpNiZEvVMUUi6p6HkBGPmbtSHJ9WzEk0qh8Om3s8MUDJ9Ozm4\nToEXZYSNOU1/StsZkxFQ4pITMHRSXFdV2Y0SPFXiq5ygzPCyAmemyKcwnYqic4iW5lP5KIaliGrq\ntU2nUDiqxOX85jhKjMwMV9f5+lyrbt2R8UUkbfY1z1sit7C4CrhcUt9EvMlXEDLya49fo7LBbSLG\nXbsN8XIJI8k7GFk3aH90E5WX0kKPbvevz28w6WAPKEptoTiTxqO0rBSQ1F6Tyy6LqwnTQW8+O9HP\nm6uKmbxGDTyKo5D0pMWo02UQrJA6ISM6DFWX6bxFcebJBFd9lTIZxRxka+xE29zZesQoaBI4E3xV\n0olKnDm053LuaoTQDCX9Et2B4iWP4UttzrbaPO3c4H50lwfOXZ7NbnI03WQ06JPuN1DPvWre9hkw\nK8StctFFahQ/pjBq1EAvsgS4OBzDkruFxZcZl0vqy0gaY4OKQ+b6cWPJa4LGAw8i7YkbBGLoZabY\n5WgL3VxI2tWRNwjZGzWLEW0YOAU4c2kSylviDWNSLaF5X92xavzXzSDsE0eeN/4vxpXxVAnh54ry\nwIMdn/lqm9ONFbwoJ/VDxqrNZBaTnMXkR76YgQ2BEYyO2+yOr9FUU26vP2R/axV3KacVpzTWU1bO\nYOVMyfeOQbUd1HWH/LbD5EbEs94WT/tbfBje5v3yHu+nr7JzcpODwRbD3WVp8HqMdPMeKCH2qR4W\nsrjsuahbv0jsBtaW18LiquFySd1Iny+mZ0vOS8TrTY9QSchN/1CG5B/Kmfi/FGa6Ebq5ZipKltKD\npPaVyrTqRJ02QHWr4uEMGcqc6PSNUrJNPXgewf2oStMkwAOEKIcZ5Lrq+aQJ32+QTkJOtleZbseU\npUs2D8hPfIq/8il/4MKObgqaKSY/apP3fdK0Qb4d8OjGbbZW91j7xoCVWycEWUqYpjhKkfkBWRAw\niWNG7Q5nrS673iY7xRZHgzVODlc5PVphuhcz3Y9FEWqcGQeluDMOczE1y8fIZcaYanxTXdJYJ/eL\njUgWFhZXBZdL6kOk6GhMucyV/wSJeqGKgKdK+30XEjlPVeVdPkfkIKV+YdkUhQsei26fotCGYOYs\n4lIZnx9Ll2c+haQpapuZJw06ibYIMJOVZg14vgSlD4EjW1bCXg6DDOba6dCdwG4PnD7FUYvJRovJ\nRlt4carEVOtBDg9m4v+SppCmJO9FJF7E7HidyUsRD+/eZiUesO4csuocETkJUZTgoEgJScuA4XCJ\ns2GP07LHUb7MIOszPW1R7nkUuz4clHCYw+EQBkoIfZqLS2WasrhMQBuiLebx1X3VX0ToF9MxFhYW\nX3ZcLqmbafYmOj9Auv3NzzGVIuaghKnOz0z1+CKH2hjNRHxbOKLSrntUhGXOFEaHGCK5h1PZymMo\n29LZmjVg1JD3yw/0fobUO/C8hJOGeM84jqhnkhNITZJ6JCmdg235+A8dCANJHykkl5/nMD2B6Slk\n2v6AU3i6Aier5G/3GTabTFvbHAXXeOinhF6K65Q4rsJRirJ0KQuHovTJyoC89EhLyJSiyFK5ykhS\nfcJIIEuFyLNUjMuU6RRdzPXjo/YAL/JPt92kFhZXFZfs0piKrHDuCZka864RwqMhlffLaQ7DuaRX\nUk9SKU6uzbtKbbylCXqhUTci8rn+QIVE6Oa5EUJonia4kZ5fWif954j8RnuoFyHMZjAzg0tLJLI1\n0p0UcLT2W+u/zylJTCJ+qt//ADnh5HJMWQjjEJVFpEmTdN7W4/moeqdMn48JoE2aKlE6+s41kWtP\nHVNTUCVV5G2IvD6v75PIXPFRUrewsLhquGRSn8I4hMNISPoMiWxN75BHLa+ea8/vUyHxotA7GmuB\nhVk4lZTRsKDHeeKC6nLA2AGYVI2xmi1YpGaYIJVbbfhFRuX6ONMHfYQQdIwYf23q13T1cZhLEuNL\nc0ZlQuYj4vx1aHag24blBmw4sO6K5LND5Xbg6cM2qW6TBh86cBbAaQBnjco7Pctl/YqE86kW4/Vi\n3tS8IdjCp4XFVxOXS+rZD2HUg7QnkW1ibHS14sRxdOTs6UjcpEImoAZUE58jzvfnF1TevUtIKsZY\nCpgoNUFPqdaPd/RmhOzG8Av9/KZswZJoCRuhpDCyDPIlyBuy0QJ3E9x1WG/CWgRdt3L8nQUwjsWy\n99iH47ac0FpdaPbwfsHFe1PRfPmErc4+m0t7LDdPWIrOWAqH+E6B5+SgHNIyJClCJmnMOGkzSjqc\nzbuczXoMh0uMj5eYHHdQRwEMPPm8kQ/DWOoF81SmHi1yXMZb3eTU6x2l9ehdfcxmYWHxZccle7+8\nC/N1mG8iZKpTAoWWEOKwSHswRiLbY6pCZwPRPRq7gBghF5OzgapLyIjKcyRaNXPt2vK805eNBgsy\nU005LjUBRxu+RG3ou7DsVvr0aQqzLkx78np/GaK+NFD9Aji3FE5X4XRL1ImH2m+jnrXh/R7MM8gc\nWA5gLSD4lTHN74xZ/9Y+3+Btvsn3uVN+yPXiGdeKXaIyISwTFC4TN2bstTl01zjwNtjzNnni3uSJ\ne5Od2Q12BzfIjkOKhz7Fhy7qkQ/PIqllHCHyy0zJCVLV6gGLgqk5+RlyvzjGzubYLSyuGi6X1LmF\nEK6JtFMkWqxb5hrd4BFCxkntuS6VqH2GnBh8JDJP9e2a3ifUzykqJ0IljzkhRE1oRBBE+n1KuXKY\n55LnDmMpdq560vF6iyotPfTgWQeeBmLy1W3IR75ewi+WBK8mtNtj2u0R87MW46Mlps/a4PowcOU9\ntl24CVtb+9xtv8+9/Ce8dfhD3jr4IWs7h8RPJrSeTUVLnxTgOgSdkk5nzvLGmJvb+4y37rO3usH+\n2jqPwlvcX36V+/ErHISbHHY3GK715LhaZtl1nj9tQNKF3KSqTOusqQWYEyJUxG5hYXEVccmkflNI\n0PVAzaVYWc61X3lPrHCdhniXlwnkgShHFhH6Cjg92VQkb6lMrrxETgjLQE+ImwAhqQaoGF1FBHR7\nZjeAhv7KDjBq6c91xE439mHZES+xV6iapQaejK3bbwgXLrmwDv6tDO+1lPi1ESuNI1abhwwnfdSW\nQ7ocUe64qHc81MyRc891WFk54l7zXb6df4839t/j9R+/T+OdMck7kPwE0hmkc3BcaHZzmr05rbsj\n1l4D9ZrH5iv7nMRLbPT3iVsTvDjD93Nm7SbjdhuFi0rdSus/c6SukSPfc/GEicSLC7d1u10LC4ur\nhkt2abwhOu8QcUxMlyDti8Vt1IaoBaEr21zng8chUjm8JsMo3EZll1smWsViJCItqklEHng64ixb\nYjmrtEWAk0LkyTCLDrVGKFcGTc8CCDzxjuki1gZbVNp6D3jiyHQjD4gcnFjR7Expd8/odwasuYes\nOwccNRJSL2RehGT9Bmm7gXI8yQItQdyYsuYfspXus7Q/wv9Jzuhd2H0EewcwKWBc6tJqAuvH0C/N\n3KaSpdaYaGNO1goY+KscBGsMohXi7jph3qPoh+TdENVxK0OvxNe2CgVy4jNR+kXlTt0bBiyxW1hc\nPVwuqcdxlQrIQxgGkLVEz70UQTuoCowjV7zXx6YY2gVnSYy6Ag9yDzJXuzQa+YxJ3QRSdF3wUyDN\nQwsJiRKeCrXdrzknGAUOVHzmUtVcjbQwRAi9DgWOq3D9Ejco8SjwKHCdEtyS0lUoR30kNa0UKBy5\n4NCbi8y2bmTaDUHJ+SlEzkW+J5kcFUDpuxSeR+b4ZI5Pjk+hfMrCRxUuaSmCfgAAFwdJREFUynjh\nvLDD/2Ij0ceRtiVzC4urissl9T4SYi4hkXjhwbAJDUeeM6nwEHBdkestBNsNmekZOLq2qcQjPS8R\nJjb76ZSLIWWTnVmkEIxlY83XZLGvAkczX1lqTTznrcYX1r/6O5nSwAyyLGBWNgmIaRETEzPJW0zn\nLeaTJmrio6ZOVdedQJJEDIslTvwe670BxQ2X9jGEB7ARwiSXzQmg24VeH7yb4N6G4rbLeL3FcbvL\nfrTBgbPOEWucJX0moyXS41im1o0cKV0YO4S0FNvic52jHzeX9OLZwMLC4irhktUvVPwLQtCuTmGY\n/qCFrbcj6ZB6SkDVo85C+7zMkLOAIR2dIy5dieQdR9vzGkJPQE2lWDgqF7VTka0XkKfiKTNryeuO\nkH6kXWo5dQWjDIpcJJgnPsrxyR5FqPcdSt8nazU5ba0wHcUMj3uUT0PYcVGnjohN9uT7Ht1Y48ez\nNygbkNxu4jQV69cPaH99TLwzIUghzkAFDn7fIV92Ga62Ga4ucbLWY29lg93WJo+K23yQ3uOD5B7H\nu6uMd5dQTx34EHiI+NQcIT6+aQKFEbsbm0nj+2LULxfljBYWFlcRl6xTpyL22pCiyt+bWnDogKqT\nun6y0F2TuSH1KZVNQK2RpvR1asalOhMY+coU5jEMC8lt+I4cz7iAbC6kP2+LEiYqYceBtlOR+lkJ\np4l4x6QeFE2YO+T3ffL1gHkWc7q6DCtKZpPuuPDQgcclnBbCo74DqcPhS6skx1/jNOuSrkWUGw53\nXn/M1vyAzfnhohmr8B1mXY+k63HgrLOjttlR2zxRN3lS3ODZ5BZPh7d4NryF+tAVq4KHiHnYjoIj\nJY2yw5LKA+eMqimp7tZ4MXI3vxgLC4urhssl9THV9CDTE2S41kwDMqmQoaNb7gP94kJSBpkr0bHK\nJKJmRBXmF5yf4FM3min1h5yAGkLSgKIthVijyMkySM1II30ymCzB4xhGsahFUmBewGgM2UBbATdg\nFsEHbUhi+HEoDUhdJd9jABwWsDOC8VDGGA0CmITM/sKhOOuRfDfmbH2FH659i057TCua0Qy13YFC\nZp3OHMp9h9m8yXTSYjKJmYxixqOYyVmbyXEbTlw4cHTfVgHTOUzm0nSUGNI2RG7yMRebjy6qX16U\nkLckb2FxFXC5pD6fiqLF9SUSn2qPkrkjvuVpTTo3M6Tus/BbUYHk4QvT4m+S00bBkVCROnx0sMMU\n0atPIGuKkRelfn1AFb2e6MdTmM/hoC89UAUisSzm0sBTPpf9igjKhrg0nubQaukJew7MlVwBjDNI\njmQrchg3Ydwge6dDdtBh8qMlDrd7cO1V6DtSd2jrqqmn/dQTJbr1sYKRklTKmZLpUKcKzgo4PYWJ\ngkkJSc4ieb9YqynnDb3M9qIu0oskbvPqFhZXDZdL6uUODLsw0zYBeQYql6Jp5sPQyEtKTZ4mbJ+j\npztQ5WyOqbxbJlTyPDNvs05QUClfzPy5gX7+hMoLZQDsI5YDWr9YziCdQjaSz1KZpGfUiT4GgEh0\n88kY8pEQtufJViRyEihmUJ7IhtHeN2Q95l143oYPIogiUfh4Hvh6PRxdKyhz2fJcLAvyXNsWpPp+\nLmta5Norx0Te9Sj84hCMF5l5mfWq3168b2FhcRVwyYXSx5AtQzZFSE2ThOGVc2oL07ruUhGxIV+f\nat6cT0XWPhIiN6v3XjTXpLX3NsRvUjTGfrY+pcPV72O6XCNQnuT5VU51kghlH2dZulRbTZFoulon\nnzj6qkM7Rpa5FIHdJnjLsBrDegt32afRSolacyIvIyInJMNB4VBSoshxyHFI8EjwSEuPfOpQzCLK\naQDTQqQy80KKvkmhR/aVoulfROh1or+ogKmPsbOEbmFx1XHJHaUfItFwD+m+MaL0F/l7Q0W6Ju9b\n6teEtecbVDYApuXdSBuNNv1Mf4ZDpWfvI3YDEVUKYkKViukD18FZBTcGLxaZY1FKTp4cifJ7wF1w\nXhKPmGuOpE8ipC1/oGBfweEc5oF00hJAdBeil+BND37ZwX8rpbt9yMq1A1YaA5Y5psepaN0pyfGY\nEDMm5oQ+xyxzmi0x3Wsz3etQ7ga6KAo8V5JTXxhZKu14adJLE6qUjDH0qkfyL5I4WlmjhcVVxCWT\nOgiJnCBEYkjd5H0zqgYi4zer9GtG+n6g9zF5cyMkN4QcI4J3E7GXVCcBRz/WEhMuXxt65YWkLFQB\njMW33VsCrw9xF/oBLPsSbc8UTJswacO4B35HcujtBnwNMfS6XuLGOV6cU+56lB/6lA8jeBLDkz64\nAVxrw1bE2rcOWf/2PtuvPeOV8D4ve/dZPjumOZjSOpnhlAqnLCl9lzQOSeKIcT/mrN/htNdjr3GN\nvZVtDm+uMzhbYTBcIX0ckT2JyJ8EIp3cA05d3aFbn0Qyrq1bfQh1XctviqZm/azM0cLiKuGSSd2k\nXEw6xUTFE4RgFGKKYvzOTZrADJkwqZdu7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uwacnlh8AxpYrL4ZLyo0cuu288GBfwv4LvA\nP9WPbSCXwOjbjb+B47rK+Lj1s//nnx2fC29+VlL/M+TS4eL228B/QtxTvoG4Zf37T3ifr6qxyOcJ\nu0Y/P34Vudz9DvDPkMvfOqwN5c+HT1s/u7afjs+NNz9rR+nf/Sn3+0Pgf+r7O8CN2nPX9WMWn4yL\n63aD82dui0/Hnr49BP47cvn6HLH33Ae2WIy+svgp8XHrZ//PPxvqf38/F29eRvplq3b/71MVA/4E\n+IdIs9Id4BUqJYLFx+O7yFrdRtbuHyBrafHTwTj6gBgp/AbyN/knwO/qx38X+B9f/KFdaXzc+tn/\n88+GLzVv/ldEPvbXyC+6nqv8V0ii/13gN7/oA7vCsI1enx13EPXA28CPqNZvGcmzW0njp+OPkdHm\nKVLf+cd88vrZ//NPxsX1/CdY3rSwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCwsLCw\nsLCwsLCwsLCwsLCwsLhs/D81VpPg1IYhBAAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7f27ec18c210>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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1OSBwSUh0zqmXuNtm1efjsgiTaSnZniNEF0ogQ5VlBKQKtxfBnqbYTiiHPY6H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Xe1gqYC/6kVdi1atPhQ8aCkHv6TfONTNzOP+r1P/T6g++sVO//oirifM5keMDk7QN9ETa7LR/as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\nHBwcHBwczhv/D3LP4WMWsEBbAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7f27ec18cdd0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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KtV47QXV9umWOc6H4SFrqGOKnbzdqvbta9Wmftx4RawydnuK4DuzLhDDIZxWX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\nocbpc3DqVGnhiNCXbwOdXcJ8sEpYaRfbLUmb4JN2sKGBulB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       "text": [
        "<matplotlib.figure.Figure at 0x7f27ec1ab410>"
       ]
      }
     ],
     "prompt_number": 22
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
  }
 ]
}